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Single-Image Crowd Counting via Multi-Column …

Single-Image Crowd Counting via Multi-Column Convolutional Neural NetworkYingying Zhang Desen Zhou Siqin Chen Shenghua Gao Yi MaShanghaitech paper aims to develop a method than can accuratelyestimate the Crowd count from an individual image with ar-bitrary Crowd density and arbitrary perspective. To this end,we have proposed a simple but effective Multi-Column Con-volutional Neural Network (MCNN) architecture to map theimage to its Crowd density map. The proposed MCNN al-lows the input image to be of arbitrary size or utilizing filters with receptive fields of different sizes, thefeatures learned by each column CNN are adaptive to varia-tions in people/head size due to perspective effect or imageresolution. Furthermore, the true density map is comput-ed accurately based on geometry-adaptive kernels which donot need knowing the perspective map of the input image.

If there is a head at pixel xi, we represent it as a delta func-tion δ(x− xi). Hence an image with N heads labeled can be represented as a function H(x) = ∑N i=1 δ(x−xi). To convert this to a continuous density function, we may convolve this function with a Gaussian kernel[17] Gσ so that the density is F(x) = H(x) ∗ Gσ(x). However, such

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